On the Morse critical groups for indefinite sublinear elliptic problems

被引：16

作者：

Moroz, V ^{[1
]}

机构：

[1] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 05期

关键词：

sublinear elliptic equations; indefinite weights; nontrivial solutions; bifurcation; Morse theory; Morse critical groups;

D O I：

10.1016/S0362-546X(02)00174-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Dirichlet problem for the equation -Deltau = alphau + m(x)u\u\(q-2) + g(x, u), where q is an element of (1, 2) and m changes sign. We prove that the Morse critical groups at zero of the energy functional of the problem are trivial. As a consequence, existence and bifurcation of nontrivial solutions of the problem are established. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1441 / 1453

页数：13

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